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- If (r + s) = 7 and rs = 15, then find the value of (r² + s²).
- If (360 – 335 + 205) ÷ 10 + √1600 = x, then {(x/2) + 8} = ?
- x + y = 12, xy = 35, y + z = 16, yz = 63, z + x = 14 and xz = 45, then find the value of x³ + y³ + z³ – 3xyz.
- [a/(2a² + 5a + 2)] = 1/6 , then find the value of (a+1)/a ?
- Find the remainder on dividing (5x 3 + 4x 2 – 10x + 1) by (2x – 4).
- If a 2 + b 2 + c 2 = 240 and ab – bc – ca = 64, then find the value of (a + b – c) 2 .
- If ( p = 40 - q - r ) and ( pq + r(q + p) = 720 ), then find the value of ( p2 + q2 + r2).
- If (a3+1)/(a+1) = (a3-1)/(a-1) and a ≠ 1, -1. Find the value of 'a'
- If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?
- Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
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